How is the function shown below related to y​x? Graph the function by translating the parent function.

Question

y=x-4

Answer 1

The function y = x - 4 is a linear function that is related to the parent function y = x by a translation.

The parent function y = x is a straight line with a slope of 1 and passes through the origin (0,0).

By subtracting 4 from the x-values, the translated function y = x - 4 shifts the graph of the parent function downward by 4 units.

To graph the function y = x - 4, start with the points on the parent function y = x and then shift them downward by 4 units.

For example, when x = 0, the parent function has a y-value of 0. However, for the translated function y = x - 4, when x = 0, the corresponding y-value is -4.

By connecting all the translated points, you will get a straight line that is parallel to the parent function but shifted downward by 4 units.